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Finding the Third Proportional to 1,791,456,728,628 and 3,948,069,402,672

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Solution

The third proportional to 1,791,456,728,628 and 3,948,069,402,672 is: 8,700,881,109,337.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791,456,728,628 : 3,948,069,402,672 = 3,948,069,402,672 : x
  2. Step 2: Convert to fraction form
    1,791,456,728,628/3,948,069,402,672 = 3,948,069,402,672/x
  3. Step 3: Cross multiply
    1,791,456,728,628x = 3,948,069,402,672 × 3,948,069,402,672
  4. Step 4: Simplify right side
    1,791,456,728,628x = 15,587,252,008,314,843,307,180,032
  5. Step 5: Solve for x
    x = 15,587,252,008,314,843,307,180,032/1,791,456,728,628
  6. Step 6: Final answer
    x = 8,700,881,109,337.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.